Atkin-Lehner |
2- 5+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350w |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
191520 |
Modular degree for the optimal curve |
Δ |
16376000000 = 29 · 56 · 23 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5938,-176508] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:30:1] |
Generators of the group modulo torsion |
j |
1481933914201/1048064 |
j-invariant |
L |
5.8606261770314 |
L(r)(E,1)/r! |
Ω |
0.54388560233595 |
Real period |
R |
1.1972750927946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094a1 |
Quadratic twists by: 5 |